LEADER 03370nam 2200565 a 450 001 9910461928103321 005 20200520144314.0 010 $a1-61444-203-7 035 $a(CKB)2670000000205122 035 $a(SSID)ssj0000667042 035 $a(PQKBManifestationID)11457005 035 $a(PQKBTitleCode)TC0000667042 035 $a(PQKBWorkID)10674027 035 $a(PQKB)10456813 035 $a(UkCbUP)CR9781614442035 035 $a(MiAaPQ)EBC3330373 035 $a(Au-PeEL)EBL3330373 035 $a(CaPaEBR)ebr10728522 035 $a(OCoLC)929120468 035 $a(EXLCZ)992670000000205122 100 $a20110617d2011 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt 182 $cc 183 $acr 200 12$aA guide to plane algebraic curves$b[electronic resource] /$fKeith Kendig 210 $a[Washington, D.C.] $cMathematical Association of America$dc2011 215 $a1 online resource (xv, 193 pages) $cdigital, PDF file(s) 225 0$aDolciani mathematical expositions ;$vno. 46 225 0$aMAA guides ;$vno. 7 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-88385-353-1 320 $aIncludes bibliographical references (p. 185-187) and index. 327 $a1. A gallery of algebraic curves -- 2. Points at infinity -- 3. From real to complex -- 4. Topology of algebraic curves in P[superscript 2](C) -- 5. Singularities -- 6. The big three: C,K,S. 330 $aThis book can be used in a one semester undergraduate course or senior capstone course, or as a useful companion in studying algebraic geometry at the graduate level. This Guide is a friendly introduction to plane algebraic curves. It emphasizes geometry and intuition, and the presentation is kept concrete. You'll find an abundance of pictures and examples to help develop your intuition about the subject, which is so basic to understanding and asking fruitful questions. Highlights of the elementary theory are covered, which for some could be an end in itself, and for others an invitation to investigate further. Proofs, when given, are mostly sketched, some in more detail, but typically with less. References to texts that provide further discussion are often included. Computer algebra software has made getting around in algebraic geometry much easier. Algebraic curves and geometry are now being applied to areas such as cryptography, complexity and coding theory, robotics, biological networks, and coupled dynamical systems. Algebraic curves were used in Andrew Wiles' proof of Fermat's Last Theorem, and to understand string theory, you need to know some algebraic geometry. There are other areas on the horizon for which the concepts and tools of algebraic curves and geometry hold tantalizing promise. This introduction to algebraic curves will be appropriate for a wide segment of scientists and engineers wanting an entrance to this burgeoning subject. 606 $aCurves, Plane 606 $aCurves, Algebraic 608 $aElectronic books. 615 0$aCurves, Plane. 615 0$aCurves, Algebraic. 676 $a516.3/52 700 $aKendig$b Keith$f1938-$057776 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910461928103321 996 $aA guide to plane algebraic curves$92041374 997 $aUNINA